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2141730291840 = 273510910233803
BaseRepresentation
bin11111001010101001000…
…100101100000010000000
321120202011212101122220020
4133022221010230002000
5240042230423314330
64315521453013440
7310510034052006
oct37125104540200
97522155348806
102141730291840
11756336a07887
122a70b9184280
13126c6c74a699
1475935c0aa76
153aaa0a88210
hex1f2a912c080

2141730291840 has 128 divisors (see below), whose sum is σ = 6889396852800. Its totient is φ = 565888315392.

The previous prime is 2141730291793. The next prime is 2141730291863. The reversal of 2141730291840 is 481920371412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2141730291792 and 2141730291801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4907622 + ... + 5326181.

Almost surely, 22141730291840 is an apocalyptic number.

2141730291840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141730291840 is an abundant number, since it is smaller than the sum of its proper divisors (4747666560960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141730291840 is a wasteful number, since it uses less digits than its factorization.

2141730291840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233934 (or 10233922 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 2141730291840 in words is "two trillion, one hundred forty-one billion, seven hundred thirty million, two hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 109 120 128 160 192 218 240 320 327 384 436 480 545 640 654 872 960 1090 1308 1635 1744 1920 2180 2616 3270 3488 4360 5232 6540 6976 8720 10464 13080 13952 17440 20928 26160 34880 41856 52320 69760 104640 209280 10233803 20467606 30701409 40935212 51169015 61402818 81870424 102338030 122805636 153507045 163740848 204676060 245611272 307014090 327481696 409352120 491222544 614028180 654963392 818704240 982445088 1115484527 1228056360 1309926784 1637408480 1964890176 2230969054 2456112720 3274816960 3346453581 3929780352 4461938108 4912225440 5577422635 6549633920 6692907162 8923876216 9824450880 11154845270 13385814324 16732267905 17847752432 19648901760 22309690540 26771628648 33464535810 35695504864 44619381080 53543257296 66929071620 71391009728 89238762160 107086514592 133858143240 142782019456 178477524320 214173029184 267716286480 356955048640 428346058368 535432572960 713910097280 1070865145920 2141730291840